The Existence of Traveling Fronts of a Generalized Reaction–Diffusion Equation

In this paper, we study the traveling wave solutions of a generalized reaction–diffusion system based on the classical Fisher-type system. Through qualitative analysis and blow-up techniques, we prove the existence of traveling fronts of the system. Moreover, we detect the limit points (i.e. [Formula: see text]-limit points or [Formula: see text]-limit points) of all traveling wave solutions by analyzing the global topological phase portraits of the equivalent system.